Browsing by Subject "Functions."

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    Asymptotic theory of characters of the symmetric groups
    (1996) Kurtaran, Elif
    In this work, we studied the connection between ramified coverings of Riemann surfaces tt : X V oi degree n and characters of symmetric group Sn- We considered asymptotics of characters of as n —> oo and normalized characters of Sn under some restrictions.
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    Factorization in Hardy and Nevanlinna classes
    (1999) Gergün, Seçil
    We find conditions under which the factors of a function belonging to Hardy or Nevanlinna class also belong to the corresponding class. The basis of our method is the theorem on the representation of a function harmonic in the upper half-plane by Poisson integral under much less restrictive conditions than previously known.
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    On power series with one singular point at circumference of convergence
    (2002) Yardımcı, Umut
    We obtain two refinements of Faber’s theorem related to power series with one singular point at circumference of convergence. The first one characterizes growth at the singular point in more precise scale of growth. The second one characterizes the growth at the singular point using series expansions both inside and outside the disc of convergence.